A certain volume of hydrogen diffuses through a porous pot in 30seconds. Calculate the time taken for the same volume of HCL to diffuse under the same condition
rate = volume/time. Let's just take a volume of 30 cc then rate H2 = 30/30 = 1 cc/sec
mm = molar mass
x = rate HCl
(rate H2/rate HCl) = sqrt (mm HCl/mm H2)
(1/x) = sqrt (36.5/2)
solve for x = 30 cc HCl/time HCl)
Then solve for time HCl.
Post your work if you get stuck.
To determine the time taken for the same volume of HCl to diffuse under the same conditions, we need to use Graham's law of diffusion.
Graham's law states that the rate of diffusion of a gas is inversely proportional to the square root of its molar mass. The formula can be written as:
Rate1/Rate2 = √(Molar mass2/Molar mass1)
In this case, we are comparing the diffusion rates of hydrogen (H2) and hydrochloric acid (HCl). Hydrogen gas (H2) has a molar mass of approximately 2 g/mol, while hydrochloric acid (HCl) has a molar mass of approximately 36.5 g/mol.
Let's assume that the volume of hydrogen gas diffused in 30 seconds is 1 unit. According to Graham's law, the ratio of the diffusion rates can be calculated as follows:
Rate of hydrogen (H2) / Rate of hydrochloric acid (HCl) = √(Molar mass of HCl/Molar mass of H2)
Rate of hydrogen (H2) / Rate of hydrochloric acid (HCl) = √(36.5 g/mol / 2 g/mol)
Rate of hydrogen (H2) / Rate of hydrochloric acid (HCl) = √(18.25)
Rate of hydrogen (H2) / Rate of hydrochloric acid (HCl) ≈ 4.27
From Graham's law, we can deduce that the rate of diffusion for hydrochloric acid is about 4.27 times slower than the rate of hydrogen gas. Therefore, if it took 30 seconds for the volume of hydrogen to diffuse, the same volume of hydrochloric acid would take approximately 30 * 4.27 = 128.1 seconds to diffuse under the same conditions. Thus, the time taken for the same volume of HCl to diffuse would be approximately 128.1 seconds.
To calculate the time taken for the same volume of hydrochloric acid (HCl) to diffuse under the same conditions, we need to consider the principles of Graham's Law of Diffusion. Graham's Law states that the rate of diffusion of a gas is inversely proportional to the square root of its molar mass.
In this scenario, we are given that a certain volume of hydrogen gas diffuses through a porous pot in 30 seconds. We'll assume that the temperature and pressure remain constant.
To find the time taken for the same volume of HCl to diffuse, we need to compare the rates of diffusion for hydrogen and HCl. The key is to compare the molar masses of the two gases.
1. Determine the molar masses of hydrogen (H2) and hydrochloric acid (HCl):
- The molar mass of hydrogen (H2) is approximately 2.02 g/mol.
- The molar mass of hydrochloric acid (HCl) is approximately 36.46 g/mol.
2. Calculate the square root of the molar masses for hydrogen and HCl:
- Square root of the molar mass of hydrogen (√2.02 g/mol) = 1.42 g/mol^(1/2)
- Square root of the molar mass of HCl (√36.46 g/mol) = 6.04 g/mol^(1/2)
3. Calculate the ratio of the square roots of the molar masses:
- Ratio = (√Molar Mass of Hydrogen) / (√Molar Mass of HCl)
= (1.42 g/mol^(1/2)) / (6.04 g/mol^(1/2))
4. Calculate the time taken for the same volume of HCl to diffuse:
- Time taken for HCl to diffuse = (Time taken for Hydrogen to diffuse) * Ratio
= 30 seconds * Ratio
By following these steps and substituting the values, you can calculate the time taken for the same volume of HCl to diffuse under the same conditions. Simply plug in the values from steps 1-3 into step 4 to find the answer.